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Finding the Fourth Proportional to 37,171, 51,283.41 and 21,244.10

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Solution

The fourth proportional to 37,171, 51,283.41 and 21,244.10 is: 29,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,171 : 51,283.41 = 21,244.10 : x
  2. Step 2: Convert to fraction form
    37,171/51,283.41 = 21,244.10/x
  3. Step 3: Cross multiply
    37,171x = 51,283.41 × 21,244.10
  4. Step 4: Simplify right side
    37,171x = 1,089,469,890.38
  5. Step 5: Solve for x
    x = 1,089,469,890.38/37,171
  6. Step 6: Final answer
    x = 29,309.67

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Double scale
Find fourth proportional to 37,172, 51,284.79 and 21,245.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.